827306641 has 18 divisors (see below), whose sum is σ = 994479570. Its totient is φ = 686206080.

The previous prime is 827306617. The next prime is 827306653. The reversal of 827306641 is 146603728.

827306641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 470890000 + 356416641 = 21700^2 + 18879^2 .

It is not a de Polignac number, because 827306641 - 2²⁵ = 793752209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 827306641.

It is not an unprimeable number, because it can be changed into a prime (827306611) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38305 + ... + 55873.

It is an arithmetic number, because the mean of its divisors is an integer number (55248865).

Almost surely, 2^827306641 is an apocalyptic number.

It is an amenable number.

827306641 is a deficient number, since it is larger than the sum of its proper divisors (167172929).

827306641 is a wasteful number, since it uses less digits than its factorization.

827306641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17645 (or 17607 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 827306641 is about 28762.9386711442. The cubic root of 827306641 is about 938.7620042519.

The spelling of 827306641 in words is "eight hundred twenty-seven million, three hundred six thousand, six hundred forty-one".